Cartesian to Polar Coordinates: A Step-by-Step Guide
ByKruskalCode Team•SaaS & Automation Studio
24:03
6 min read
In this article, we will learn how to convert Cartesian coordinates to Polar coordinates
Explanation
Cartesian coordinates are a way to describe points in a 2D plane using x and y values. Polar coordinates are a way to describe points in a 2D plane using radius (r) and angle (θ)
Formula
r = √(x² + y²) θ = atan2(y, x)
Example
For example, to convert (3, 4) to Polar coordinates, we use the formula: r = √(3² + 4²) = √(9 + 16) = √25 = 5, θ = atan2(4, 3) = 0.927 radians
How to use the related calculator
To use this tool, simply enter the x and y coordinates in the input fields and click the 'Calculate' button. The tool will then display the Polar coordinates
Try the related calculator
Open toolFAQ
What are the benefits of using Polar coordinates?
Polar coordinates are useful in many applications, such as navigation, physics, and engineering
How do I convert Polar coordinates back to Cartesian coordinates?
To convert Polar coordinates back to Cartesian coordinates, you can use the formulas: x = r * cos(θ), y = r * sin(θ)
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About the author
KruskalCode Team. KruskalCode builds scalable SaaS platforms, custom tools, mobile apps, and APIs for modern businesses.
Need a custom calculator, dashboard, or automation workflow? Reach out to KruskalCode.
